Answer:
1. y > -3/5 and y < 7/5 Direction to graph 1 below.
2. r > 1 and r < 13/3 Direction to graph 2 below
Step-by-step explanation:
|5y - 2| + 5 > 0
Case 1 Positive || Case 2 Negative ||
5y - 2 + 5 > 0 -(5y - 2) + 5 > 0
5y +3 > 0 -5y + 2 +5 > 0
5y > -3 -5y + 7 > 0
y .> -3/5 -5y > -7
-y > -7/5
y < 7/5 y value negative, change sign
The graph 1: open circle at -3/5; close circle at 7/5; shade between these two numbers.
2. |8-3r|< 5
Case I Case II
8 - 3r < 5 -(8-3r) < 5
-3r < 5 - 8 -8 + 3r < 5
-3r < -3 3r < 5 + 8
-r < -3/3 3r < 13
r >1 r is negative, change r < 13/3
the direction of the sign
Graph 2: Open circle at 1; open circle at 13/3; shade between the two numbers.
